10100100601101 has 32 divisors (see below), whose sum is σ = 15500337369088. Its totient is φ = 5730384009600.

The previous prime is 10100100601099. The next prime is 10100100601103. The reversal of 10100100601101 is 10110600100101.

10100100601101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100100601099) and next prime (10100100601103).

It is not a de Polignac number, because 10100100601101 - 2¹ = 10100100601099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100601103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5520720 + ... + 7118886.

It is an arithmetic number, because the mean of its divisors is an integer number (484385542784).

Almost surely, 2^{10100100601101} is an apocalyptic number.

It is an amenable number.

10100100601101 is a deficient number, since it is larger than the sum of its proper divisors (5400236767987).

10100100601101 is a wasteful number, since it uses less digits than its factorization.

10100100601101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600321.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10100100601101 its reverse (10110600100101), we get a palindrome (20210700701202).

The spelling of 10100100601101 in words is "ten trillion, one hundred billion, one hundred million, six hundred one thousand, one hundred one".